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aivan3 [116]
3 years ago
6

Solve the equation for all values of x by completing the square. 3x^2+177= -48x

Mathematics
1 answer:
GaryK [48]3 years ago
4 0

Use the formula

(

b

2

)

2

in order to create a new term. Solve for

x

by using this term to complete the square.

Exact Form:

x

=

±

√

5

−

8

Decimal Form:

x

=

−

5.76393202

…

,

−

10.23606797

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Thank you!
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What is an equivalent expression to q(2a+1)
kvasek [131]

You can distribute the q to both terms to get

q(2a+1) = q\cdot 2a + q\cdot 1 = 2aq+q

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Gina and Stewart are surf-fishing on the Atlantic coast, where both bluefish and pompano are common catches. The mean length of
julia-pushkina [17]

Answer:

Due to the higher z-score, Stewart caught the longer fish, relative to fish of the same species

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Who caught the longer fish, relative to fish of the same species?

Whosoever fish's had the higher z-score.

Stewart caught a bluefish that was 283mm

The mean length of a bluefish is 264 millimeters with a standard deviation of 57mm.

So we have to find Z when X = 283, \mu = 264, \sigma = 57

Z = \frac{X - \mu}{\sigma}

Z = \frac{283 - 264}{57}

Z = 0.33

Gina caught a pompano that was 152mm long.

For pompano, the mean is 157mm with a standard deviation of 28mm.

So we have to find Z when X = 152, \mu = 157, \sigma = 28

Z = \frac{X - \mu}{\sigma}

Z = \frac{152 - 157}{28}

Z = -0.18

Due to the higher z-score, Stewart caught the longer fish, relative to fish of the same species

8 0
3 years ago
In one day, by how much does the distance traveled by the tip of the minute hand exceed the distance traveled by the tip of the
lidiya [134]
In one day, there are 24 hours. In 1 hour, there are 3,600 seconds. So, that means that there are 86,400 seconds. Also, in 1 day, the short hand which denotes the number of hours, makes 2 revolutions around the clock. Its distance traveled would be twice the perimeter of the circle. 

Distance traveled by hour hand = 2(2πr) = 4πr₁

In 60 s, the long hand, which denotes numbers of minutes, makes one revolution around the clock. Since there are 86,400 seconds in a day, that would be a total of 1,440 revolutions.

Distance traveled by minute hand = 1,440(2πr) = 2,880πr₂

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Choose the set of numbers with an average of 8.
Anastaziya [24]
The correct answer is B

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